You have 314 to spend for a weeklong school trip. You spend 25 per day for snacks and souvenirs. y = the amount left and x is the number of days you been on trip

Question

The equation is y = ___x + ____

Answer 1

To model the situation where you start with $314 and spend $25 per day, we can set up the equation in the form \( y = mx + b \), where:

• \( y \) is the amount of money left,
• \( x \) is the number of days you've been on the trip,
• \( m \) is the rate of decrease in your funds per day, which is \(-25\) (since you're spending money), and
• \( b \) is the initial amount of money you have, which is \(314\).

Using this information, we can write the equation:

\[ y = -25x + 314 \]

So, the complete equation is \( y = -25x + 314 \).